Energy Loss in Inelastic Collisions Quiz with Answer Key

📚 Quick Study Guide

• 💥 An inelastic collision is one where kinetic energy is not conserved. This means some of the energy is converted into other forms, such as heat or sound.
• 📏 Momentum is always conserved in collisions (elastic and inelastic) if there are no external forces.
• 📝 The coefficient of restitution ($e$) for inelastic collisions is between 0 and 1 ($0 \le e < 1$). $e = 0$ represents a perfectly inelastic collision.
• 🌡️ Inelastic collisions often involve objects sticking together after the collision.
• 📐 The formula for conservation of momentum is: $m_1v_{1i} + m_2v_{2i} = m_1v_{1f} + m_2v_{2f}$, where $m$ is mass, $v_i$ is initial velocity, and $v_f$ is final velocity.
• 🔥 Kinetic energy lost ($\Delta KE$) can be calculated as: $\Delta KE = KE_{initial} - KE_{final}$.

🧪 Practice Quiz

1. What is the primary characteristic of an inelastic collision?
1. Kinetic energy is conserved.
2. Momentum is not conserved.
3. Kinetic energy is not conserved.
4. Both kinetic energy and momentum are conserved.
2. In an inelastic collision, what happens to the kinetic energy that is lost?
1. It is converted into potential energy.
2. It is completely destroyed.
3. It is converted into other forms of energy, like heat and sound.
4. It is transferred to the surroundings as light.
3. Two objects collide and stick together after the collision. What type of collision is this?
1. Elastic collision
2. Perfectly elastic collision
3. Inelastic collision
4. Perfectly inelastic collision
4. Which of the following is always conserved in any collision, assuming no external forces?
1. Kinetic energy
2. Potential energy
3. Momentum
4. Velocity
5. What is the value of the coefficient of restitution ($e$) for a perfectly inelastic collision?
1. $e = 1$
2. $e > 1$
3. $e = 0$
4. $0 < e < 1$
6. A 2 kg ball moving at 3 m/s collides inelastically with a stationary 1 kg ball. After the collision, both balls move together. What is their final velocity?
1. 1 m/s
2. 2 m/s
3. 3 m/s
4. 4 m/s
7. In an inelastic collision, if the initial kinetic energy is 100 J and the final kinetic energy is 60 J, what is the change in kinetic energy?
1. -40 J
2. 40 J
3. 160 J
4. -160 J